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<a NAME="E1:30_1_1"/>
(  <a href="algstr_1.html#K3" target="_self">multL_Trivial</a>  is <a href="group_1.html#V2">unital</a> &amp;  <a href="algstr_1.html#K3" target="_self">multL_Trivial</a>  is <a href="algstr_1.html#V7" target="_self">invertible</a> &amp;  <a href="algstr_1.html#K3" target="_self">multL_Trivial</a>  is <a href="algstr_1.html#V8" target="_self">cancelable</a> )
 
<b>by </b><i><a class="ref" href="algstr_1.html#T3" target="_self">Th3</a>, <a class="ref" href="algstr_1.html#T5" target="_self">Th5</a>, , <a class="ref" href="algstr_1.html#T1" target="_self">Th1</a>, , , , <a class="ref" href="algstr_1.html#T2" target="_self">Th2</a>, <a class="ref" href="group_1.html#D2">GROUP_1:def 2</a></i>;<br/>
<b>hence </b><a NAME="E2:30_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being non <a href="struct_0.html#V3">empty</a>  <a href="vectsp_1.html#L1">multLoopStr</a>  st <br/>( <font color="Olive">b<sub>1</sub></font> is <a href="vectsp_1.html#V1">strict</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="group_1.html#V2">unital</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="algstr_1.html#V7" target="_self">invertible</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="algstr_1.html#V8" target="_self">cancelable</a> )
 ;<br/>


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